You can write the equation
x+1+x+3+x+5=576
Combine like terms
3x+9=576
Subtract 9 from both sides
3x+9-9=576-9
3x=567
Divide both sides by 3
3x/3=567/3
x=189
The first integer is 190, the second is 192 and the third is 194 (enter it into the original equation to get those answers)
